What is the asymptotes of f(x)=(x^2+x-6)/(x^2+3x-4) ?

The asymptotes of f(x)=(x^2+x-6)/(x^2+3x-4) is Vertical: x=-4,x=1,Horizontal: y=1

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asymptotes of f(x)=(x^2+x-6)/(x^2+3x-4)

asymptotes

f (x) = \frac{x ^{2} + x - 6}{x ^{2} + 3 x - 4}

Vertical : x = - 4, x = 1, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{x ^{2} + x - 6}{x ^{2} + 3 x - 4} : x = - 4, x = 1

Horizontal Asymptotes of

\frac{x ^{2} + x - 6}{x ^{2} + 3 x - 4} : y = 1

Slant Asymptotes of

\frac{x ^{2} + x - 6}{x ^{2} + 3 x - 4} :

None

Vertical : x = - 4, x = 1, Horizontal : y = 1

\frac{( 2 x + 15 )}{x - 3}

f (x) = - (x + 2)^{2} + 4

f (x) = \frac{3}{x + 1}

x + 7, x \geq 7

f (x) = \frac{1}{x - 11}

What is the asymptotes of f(x)=(x^2+x-6)/(x^2+3x-4) ?
The asymptotes of f(x)=(x^2+x-6)/(x^2+3x-4) is Vertical: x=-4,x=1,Horizontal: y=1